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3 years ago

Which of the following equations is non-linear?

Mathematics

1 answer:

lakkis [162]3 years ago

5 0

2x + 6y = 14y - 19x^2 + 12 is a non-linear equation

Step-by-step explanation:

Lets define a linear equation first.

A linear equation is an equation in which there is no variable with exponent greater than 1 or the degree of the equation is 1.

So,

x + 12 = -8x + 10 - 2y

The equation is a linear equation because the degree of the equation is 1.

x = 8x + 19 - 10y

The equation is a linear equation because the degree of the equation is 1.

2x + 6y = 14y - 19x^2 + 12

The equation involve a term with exponent 2 which makes the degree of the equation 2 making it a quadratic equation

2x + 13y + 14x - 7 = 16y - 3

The equation is a linear equation because the degree of the equation is 1.

Hence,

2x + 6y = 14y - 19x^2 + 12 is a non-linear equation

Keywords: Linear, quadratic

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$y = - 3x + 6$

The coefficient of x is the slope of the line , So the slope of the above equation is -3 .

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Remember from now on ,

Product of multiplying the slopes of two lines which are perpendicular to each other , is -1 .

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We have following equation to find the point-slope form of the linear functions :

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$y - 8 = \frac{1}{3} x \\$

Add sides 8

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Done....

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